Two statistics are being considered for estimating the value of a population characteristic. The sampling distributions of

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Two statistics are being considered for estimating the value of a population characteristic. The sampling distributions of the two statistics are shown here.
Two statistics are being considered for estimating the value of

a. Suppose the actual value of the population characteristic is 50. Is Statistic I or Statistic II unbiased? If so, which one?
b. Suppose the actual value of the population characteristic is 54. In this case, neither Statistic I nor Statistic II is unbiased. Which of these two statistics would you recommend as the better estimator of the population characteristic? Explain the reasoning for your choice.

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